To convert inches per minute to feet per minute, we can use dimensional analysis to help us cancel out the inches:
Since we are going to cancel out units that are found on both the top and bottom of the fraction bars, we can cancel out units of inches, and thus we are left with feet per minute.
Parallel lines are lines which have the exact same slope but different y-intercepts. This means any line which is parallel and does not cross will have the exact same slope of -1/6.